Question # 1

If n(X) = 18, n(X∩Y) = 7, n(X∪ Y) = 40 then n(Y) =

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1

12

5

29

The point R dividing internally the line joining the points P(x₁, y₁) and Q(x₂, y₂) in the ratio K₁: K₂has the coordinates

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What is the period of 5 cot x=?

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π

-π

π/2

2π

The identity element of a set X with respect to intersection in P(x) is

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X

Does not exist

∅

None of these

The value of sin²20° + sin²70° is equal to

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1

2

-1

1/2

The distance of the point (2,-3) from y-axis is

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2

-3

1

5

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A fraction in which the degree of the numerator is greater than or equal to the degree of the denominator is called

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A proper fraction

An improper fraction

An equation

An identity

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π / 3

π / 4

π / 6

0

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The solution of the quadratic equation x2 -7x + 10=0, is

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2

5

2,5

7

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Every recurring decimal represents

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A natural number

A rational number

An irrational number

A whole number

If sinαand cosαare the roots of the equation px²+ qx + r =0, then

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p²- q²+ 2pr = 0

(p + r)²= q²- r²

p²+ q²- 2pr = 0

(p - r)²= q²+ r²

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A

A'

U

U'

A square is inscribed in the circle x²+ y²- 2x + 4y + 3 =0. Its sides are parallel to the co-ordinate axes. Then one vertex of the square is

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If tan^-13 + tan^-1x = tan^-18, then x=

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5

1/5

5/14

14/5

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For what value of k, 3x -2y+ k= 0 is tangent to the circle x2 +y2 +6x -4y =0

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k=0

k=0 or 26

k = 26

k=-13

5th term of a G.P. is 2, then the product of first 9 terms is

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256

128

512

None of these

If z₁= 2 + 6i and z₂= 3 + 7i, then which expression defines the product of z₁and z₂?

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36 + (-32)i

-36 + 32i

6 + (-11)1

0, +(-12)i

(a-1)-1 =

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a-1

a

-a

None of above

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9/4

4/9

1

None of these

2x = 3 is a conditional equation it is true for

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2

3

3/2

2/3

For n€ N,2^n>2 > n is to only when

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n<2

n≤ 4

n≥ 4

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3x + 4 > 0 is

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equation

identity

inequality

none of these

The distance of a moving particle at any instant t is x = 3t2 +1 then velocity of particle at t = 10 is

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50 cm/sec

60 cm/sec

61 cm/sec

None of these

In a class of 100 students, 60 drink tea, 50 drink coffee and 30 drink both. A student from his class is selected at takes at last one of 2 drinks is

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2 / 5

3 / 5

4 / 5

None of these

Which of the following us a scalar

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displacement

velocity

acceleration

density

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